Identifying the nature of the compact objects in a CBC from their GW signal alone where one of the companions is low mass \(\lessapprox 5~M_{\odot }\)  is a challenging task. For example, we have seen the detection of the events GW190814 [1]}, GW190425 [2]}, GW200105 and GW200115 [3]}, where at least one of the components was low mass and without an electromagnetic (EM) counterpart, the nature of the lighter companion was not well established. The prima facie reason for this challenge can be largely attributed to the fact that we rely on the measurement of tidal deformation parameters different from null. Measuring tidal deformation parameters is difficult as these effects are small and often become more prominent at higher frequencies where the detectors' sensitivities are not optimal [4]}, [5]}, [6]}. Inclusion of memory provides a complementary way to infer the nature of the less massive compact object.
